Max Cable Length Calculator

Formula

To calculate the Maximum Cable Length:

\[ L = \frac{V_d \cdot A}{I \cdot \rho} \]

Where:

\(L\) is the Maximum Cable Length
\(V_d\) is the Voltage Drop
\(A\) is the Conductor Cross-Sectional Area
\(I\) is the Current
\(\rho\) is the Resistivity

What is Max Cable Length?

The maximum cable length is the longest length of a cable that can be used in an electrical circuit while maintaining acceptable voltage drop levels. It is an important parameter in electrical engineering to ensure that the voltage drop across the cable does not exceed a certain limit, which can affect the performance and safety of electrical devices and systems. The maximum cable length depends on factors such as the voltage drop, conductor cross-sectional area, current, and resistivity of the material used for the cable.

Example Calculation 1

Let's assume the following values:

Voltage Drop (\(V_d\)) = 5 V
Conductor Cross-Sectional Area (\(A\)) = 2 mm²
Current (\(I\)) = 10 A
Resistivity (\(\rho\)) = 1.68 x 10^-8 Ω·m

Using the formula:

\[ L = \frac{5 \cdot 2}{10 \cdot 1.68 \times 10^{-8}} = 5.95 \times 10^7 \text{ meters} \]

The Maximum Cable Length is approximately 59.5 million meters.

Example Calculation 2

Let's assume the following values:

Voltage Drop (\(V_d\)) = 10 V
Conductor Cross-Sectional Area (\(A\)) = 1.5 mm²
Current (\(I\)) = 15 A
Resistivity (\(\rho\)) = 1.68 x 10^-8 Ω·m

Using the formula:

\[ L = \frac{10 \cdot 1.5}{15 \cdot 1.68 \times 10^{-8}} = 5.95 \times 10^7 \text{ meters} \]

The Maximum Cable Length is approximately 59.5 million meters.